Question
Simplify the expression
5x7−20x6
Evaluate
(x−4)×5x6
Multiply the terms
5x6(x−4)
Apply the distributive property
5x6×x−5x6×4
Multiply the terms
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Evaluate
x6×x
Use the product rule an×am=an+m to simplify the expression
x6+1
Add the numbers
x7
5x7−5x6×4
Solution
5x7−20x6
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Find the roots
x1=0,x2=4
Evaluate
(x−4)(5x6)
To find the roots of the expression,set the expression equal to 0
(x−4)(5x6)=0
Multiply the terms
(x−4)×5x6=0
Multiply the terms
5x6(x−4)=0
Elimination the left coefficient
x6(x−4)=0
Separate the equation into 2 possible cases
x6=0x−4=0
The only way a power can be 0 is when the base equals 0
x=0x−4=0
Solve the equation
More Steps

Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=0x=4
Solution
x1=0,x2=4
Show Solution
